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Boualem, Mohamed; Djellab, Natalia; Aïssani, Djamil

Stochastic inequalities for \(M/G/1\) retrial queues with vacations and constant retrial policy. (English) Zbl 1185.90041

Math. Comput. Modelling 50, No. 1-2, 207-212 (2009).
Summary: We consider an \(M/G/1\) retrial queue with vacations and we derive several stochastic comparison properties in the sense of strong stochastic ordering and convex ordering. The stochastic inequalities provide simple insensitive bounds for the stationary queue length distribution.

Cited in 11 Documents

MSC:

90B22 Queues and service in operations research

Keywords:

retrial queues with vacations; stochastic ordering; stationary distribution

Software:

UMDES
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\textit{M. Boualem} et al., Math. Comput. Modelling 50, No. 1--2, 207--212 (2009; Zbl 1185.90041)
Full Text: DOI

References:

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